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Finding the Third Proportional to 338,996 and 460,399

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Solution

The third proportional to 338,996 and 460,399 is: 625,279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,996 : 460,399 = 460,399 : x
  2. Step 2: Convert to fraction form
    338,996/460,399 = 460,399/x
  3. Step 3: Cross multiply
    338,996x = 460,399 × 460,399
  4. Step 4: Simplify right side
    338,996x = 211,967,239,201
  5. Step 5: Solve for x
    x = 211,967,239,201/338,996
  6. Step 6: Final answer
    x = 625,279.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.